1006010510561 has 16 divisors (see below), whose sum is σ = 1177808204160. Its totient is φ = 841234715520.

The previous prime is 1006010510497. The next prime is 1006010510579. The reversal of 1006010510561 is 1650150106001.

It is a cyclic number.

It is not a de Polignac number, because 1006010510561 - 2⁶ = 1006010510497 is a prime.

It is a super-5 number, since 5×1006010510561⁵ (a number of 61 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006010510561.

It is not an unprimeable number, because it can be changed into a prime (1006010510261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16497035 + ... + 16557903.

It is an arithmetic number, because the mean of its divisors is an integer number (73613012760).

Almost surely, 2^{1006010510561} is an apocalyptic number.

It is an amenable number.

1006010510561 is a deficient number, since it is larger than the sum of its proper divisors (171797693599).

1006010510561 is an equidigital number, since it uses as much as digits as its factorization.

1006010510561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118504.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 1006010510561 its reverse (1650150106001), we get a palindrome (2656160616562).

The spelling of 1006010510561 in words is "one trillion, six billion, ten million, five hundred ten thousand, five hundred sixty-one".